Solitons in ion-beam plasmas bounded by cylindrical geometry

Nonlinear ion-acoustic solitary waves are studied in a cylindrically bounded plasma consisting of ions and ion beams, along with multiple-temperature electrons, through the derivation of a Korteweg–deVries equation. The interaction of isothermality on the propagation of radially ingoing ion-acoustic waves in various plasmas exerts a drastic modifying effect on the existence and behaviour of the solitons. The results have been compared extensively with those available to date for planar, as well as spherical, solitons.

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Effect of finite ion-temperature on ion-acoustic solitary waves in an inhomogeneous plasma

Canadian Journal of Physics ◽

10.1139/p81-092 ◽

1981 ◽

Vol 59 (6) ◽

pp. 719-721 ◽

Cited By ~ 5

Author(s):

Bhimsen K. Shivamoggi

Keyword(s):

Solitary Wave ◽

Solitary Waves ◽

Acoustic Waves ◽

Inhomogeneous Plasma ◽

Ion Temperature ◽

Ion Acoustic Waves ◽

Weakly Nonlinear ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic ◽

Velocity Of Propagation

The propagation of weakly nonlinear ion–acoustic waves in an inhomogeneous plasma is studied taking into account the effect of finite ion temperature. It is found that, whereas both the amplitude and the velocity of propagation decrease as the ion–acoustic solitary wave propagates into regions of higher density, the effect of a finite ion temperature is to reduce the amplitude but enhance the velocity of propagation of the solitary wave.

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Ion-acoustic solitary waves and spectrally uniform scattering cross section enhancements

Annales Geophysicae ◽

10.5194/angeo-28-1299-2010 ◽

2010 ◽

Vol 28 (6) ◽

pp. 1299-1306 ◽

Cited By ~ 10

Author(s):

J. Ekeberg ◽

G. Wannberg ◽

L. Eliasson ◽

K. Stasiewicz

Keyword(s):

Solitary Waves ◽

Acoustic Waves ◽

Magnetized Plasma ◽

Ion Acoustic Waves ◽

Langmuir Waves ◽

Incoherent Scatter Radars ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic ◽

Order Of Magnitude ◽

Thermal Level

Abstract. Spectra measured by incoherent scatter radars are formed predominantly by scattering of the incident signal off ion-acoustic and Langmuir waves in the ionosphere. Occasionally, the upshifted and/or downshifted lines produced by the ion-acoustic waves are enhanced well above thermal levels and referred to as naturally enhanced ion-acoustic lines. In this paper, we study another kind of enhancement, which is spectrally uniform over the whole ion-line, i.e. the up- and downshifted shoulder and the spectral valley in between. Based on observations made with the EISCAT Svalbard radar (ESR) facility, we investigate the transient and spectrally uniform power enhancements, which can be explained by ion-acoustic solitary waves. We use a theory of nonlinear waves in a magnetized plasma to determine the properties of such waves and evaluate their effects on scattered signals measured by ESR. We suggest a new mechanism that can explain backscattered power enhancements by one order of magnitude above the thermal level and show that it is consistent with observations.

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Effect of Finite Ion Temperature and Modulational Instability of Ion-Acoustic Waves in Presence of an Inhomogeneous Plasma

Zeitschrift für Naturforschung A ◽

10.1515/zna-1985-0415 ◽

1985 ◽

Vol 40 (4) ◽

pp. 421-424

Author(s):

Sikha Bhattacharyya ◽

R. K. Roy Choudhury

Keyword(s):

Solitary Waves ◽

Acoustic Waves ◽

Modulational Instability ◽

Inhomogeneous Plasma ◽

Extended Version ◽

Ion Temperature ◽

Ion Acoustic Waves ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic ◽

Frame Work

Using an extended version of K. B. M. method we have investigated the effect of finite ion temperature on ion-acoustic solitary waves. Modulational instability has been discussed in a frame work of nonlinear Schrödinger equation. Some numerical results are also given.

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Soliton Characteristics at the Critical Density of Negative Ions in Ion-beam Plasmas

Australian Journal of Physics ◽

10.1071/ph900319 ◽

1990 ◽

Vol 43 (3) ◽

pp. 319 ◽

Cited By ~ 11

Author(s):

GC Das ◽

Kh lbohanbi Singh

Keyword(s):

Solitary Waves ◽

Acoustic Waves ◽

Ion Beam ◽

Perturbation Technique ◽

Critical Density ◽

Negative Ions ◽

Ion Acoustic Waves ◽

Multicomponent Plasma ◽

Laboratory Plasmas ◽

Ion Acoustic

By using the reductive perturbation technique, ion-acoustic waves are studied in a generalised multicomponent plasma. The multiple ions modify drastically the characteristics of the solitary waves. In particular, the negative ions have a critical density at which the nonlinearity of the Korteweg-deVries (K-dV) equation vanishes and the ion-acoustic solitary wave is seen to be described by a modified K-dV (mK-dV) equation. Using higher order nonlinearities, the non-uniform transition of the K-dV equation to the mK-dV equation along with the conservation of the Sagdeev potential is described. Theoretical observations on the existence of the solitary waves, as expected, could be of interest in laboratory plasmas

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Nonlinear propagation of ion acoustic waves in quantum plasma in the presence of an ion beam

Laser and Particle Beams ◽

10.1017/s0263034619000697 ◽

2019 ◽

Vol 37 (4) ◽

pp. 370-380 ◽

Cited By ~ 1

Author(s):

Indrani Paul ◽

Arkojyothi Chatterjee ◽

Sailendra Nath Paul

Keyword(s):

Solitary Waves ◽

Acoustic Waves ◽

Ion Beam ◽

Perturbation Technique ◽

Nonlinear Propagation ◽

Quantum Plasma ◽

Plasma Parameters ◽

Ion Acoustic Waves ◽

Quantum Hydrodynamic Model ◽

Ion Acoustic

AbstractNonlinear propagation of ion acoustic waves has been studied in unmagnetized quantum (degenerate) plasma in the presence of an ion beam using the one-dimensional quantum hydrodynamic model. The Korteweg–de Vries (K–dV) equation has been derived by using the reductive perturbation technique. The solution of ion acoustic solitary waves is obtained from the K–dV equation. The theoretical results have been analyzed numerically for different values of plasma parameters and the results are presented graphically. It is seen that the formation and structure of solitary waves are significantly affected by the ion beam in quantum plasma. The solitary waves will be compressive or rarefactive depending upon the values of velocity, concentration, and temperature of the ion beam. The critical value of ion beam density for the nonexistence of solitary wave has been numerically estimated, and its variation with velocity and temperature of ion beam has been discussed graphically. The results are new and would be very useful for understanding the beam–plasma interactions and the formation of nonlinear wave structures in dense quantum plasma.

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Stability and instability of some nonlinear dispersive solitary waves in higher dimension

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500030614 ◽

1996 ◽

Vol 126 (1) ◽

pp. 89-112 ◽

Cited By ~ 21

Author(s):

Anne de Bouard

Keyword(s):

Solitary Waves ◽

Acoustic Waves ◽

Vries Equation ◽

Three Dimensional ◽

Higher Dimension ◽

Ion Acoustic Waves ◽

Stability And Instability ◽

Ion Acoustic ◽

De Vries ◽

The Stability

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony equation.

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Anomalous width variation of rarefactive ion acoustic solitary waves in the context of auroral plasmas

Nonlinear Processes in Geophysics ◽

10.5194/npg-11-219-2004 ◽

2004 ◽

Vol 11 (2) ◽

pp. 219-228 ◽

Cited By ~ 48

Author(s):

S. S. Ghosh ◽

G. S. Lakhina

Keyword(s):

Solitary Waves ◽

Nonlinear Theory ◽

Acoustic Waves ◽

Large Amplitude ◽

Magnetized Plasma ◽

Amplitude Variation ◽

Fully Nonlinear ◽

Weakly Nonlinear ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic

Abstract. The presence of dynamic, large amplitude solitary waves in the auroral regions of space is well known. Since their velocities are of the order of the ion acoustic speed, they may well be considered as being generated from the nonlinear evolution of ion acoustic waves. However, they do not show the expected width-amplitude correlation for K-dV solitons. Recent POLAR observations have actually revealed that the low altitude rarefactive ion acoustic solitary waves are associated with an increase in the width with increasing amplitude. This indicates that a weakly nonlinear theory is not appropriate to describe the solitary structures in the auroral regions. In the present work, a fully nonlinear analysis based on Sagdeev pseudopotential technique has been adopted for both parallel and oblique propagation of rarefactive solitary waves in a two electron temperature multi-ion plasma. The large amplitude solutions have consistently shown an increase in the width with increasing amplitude. The width-amplitude variation profile of obliquely propagating rarefactive solitary waves in a magnetized plasma have been compared with the recent POLAR observations. The width-amplitude variation pattern is found to fit well with the analytical results. It indicates that a fully nonlinear theory of ion acoustic solitary waves may well explain the observed anomalous width variations of large amplitude structures in the auroral region.

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